Negative Coefficient: Challenge & Extension
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on expanding single brackets with negative coefficients, designed to challenge and extend understanding for Grade 8 students.
Worksheet Preview
Full preview • 11 questions
Negative Coefficient: Challenge & Extension
Subject: MathematicsGrade: Grade 8
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Expand the expression: -3(x + 4).
[2 marks]2.
Expand: -2(2x - 5).
[2 marks]3.
Simplify: -7(3x + 2) + 4x.
[3 marks]B
Problem Solving & Reasoning
Answer the questions clearly, showing all steps.
1.
A rectangle's length is represented by 2x, and its width by -x + 3. Expand the expression for the perimeter and simplify.
[4 marks]2.
If -4(2x - 1) = 8x + a, find the value of a after expanding and simplifying.
[4 marks]C
Real-world Applications
Solve the problems based on real-life scenarios.
1.
A car's speed decreases by 5 km/h every hour due to traffic congestion. Write an expression for the total decrease after x hours and expand it.
[3 marks]D
Challenge & Extension
Attempt these more difficult problems. Show detailed working.
1.
Expand and simplify: -2(3x - 4) + 5(2x + 1).
[4 marks]2.
Given the expression -k(2x + 3) + 4( -x + 5), find the simplified form in terms of x and k.
[4 marks]E
Mixed Review
Answer a variety of question types related to negative coefficients.
1.
Plot the graph of y = -2x on the grid. (Draw using the grid paper.)
[3 marks]2.
Construct a triangle with sides of lengths -4, 5, and 6. Is this possible? Explain.
[3 marks]F
Error Analysis
Identify and correct the mistakes in the following expansion:
1.
Expand: -5(x - 2) and identify the error in this expansion: -5x + 2.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet